12085370880264 has 576 divisors, whose sum is σ = 36808611840000. Its totient is φ = 3578980204800.

The previous prime is 12085370880257. The next prime is 12085370880367. The reversal of 12085370880264 is 46208807358021.

12085370880264 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 370 + 8 + 8 + 0 + 264 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12085370880264.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28843367047 + ... + 28843367465.

It is an arithmetic number, because the mean of its divisors is an integer number (63903840000).

Almost surely, 2^{12085370880264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12085370880264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404305920000).

12085370880264 is an abundant number, since it is smaller than the sum of its proper divisors (24723240959736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12085370880264 is a wasteful number, since it uses less digits than its factorization.

12085370880264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12085370880264 in words is "twelve trillion, eighty-five billion, three hundred seventy million, eight hundred eighty thousand, two hundred sixty-four".